Computational Mechanics

Representative

Description

The area of concentration in computational mechanics has its origins within the traditional areas of civil engineering, such as structures, geotechnics, water resources and construction, notably covering and to some extent unifying subjects focused on the analysis, simulation and modeling of physical problems in engineering, using computing. The area has stood out for its constant updating and maintenance of high levels compatible with international standards and has exerted an important influence on the development of science and technology over the last four decades, making it possible to transform the classical theories of continuum mechanics into practical tools for predicting and understanding the behavior of complex systems. Computational mechanics tools are widely used in the simulation of current projects and technological advances; including industry, medicine, defense and many other areas of knowledge, without departing from their origins, always acting to overcome challenges and difficulties in engineering projects.

Among the various lines of research belonging to this area, it is worth emphasizing both the development and advanced application of numerical methods, such as finite element methods, boundary element methods, finite difference methods, finite volume methods and meshless methods, among others, which have been developed with the help of the PEC’s existing computer park and PC clusters. With regard to the field of applications directly related to this area, it is worth mentioning prototypes and computer systems used to solve non-linear and time-dependent problems, both in stress analysis and in fluid mechanics and potential theory in general, such as: implementation of thermo-chemical-mechanical models for massive concrete structures, models with visco-elastoplastic materials, geometric non-linear models, wave propagation, flow problems, well simulation, fire simulation, simulation of cathodic protection systems, bioengineering, etc.

Lines of Research

This line of research includes the development of both classical numerical methods such as finite elements, boundary elements and finite differences, as well as new variants including formulations using finite volumes and meshless methods, among others, also looking at possible combinations between methods.

The high performance computing line includes the study and development of parallelization techniques aimed at optimizing the use of clusters and machines with distributed and/or shared memory architectures. Data structures and optimization of algorithms for large-scale computing are also objects of study in this line.

This line includes specific tools and algorithms aimed at improving computational efficiency in applications of the various existing numerical methods. This scope includes: solving linear and non-linear systems of algebraic equations, numerical integration, mesh generation, calculating eigenvalues and eigenvectors, time integration algorithms and other iterative procedures in general.

Geophysics – velocity model at a depth of 2650m

Boundary Elements: 3-D simulation of electrochemical potential distribution in industrial pipes under cathodic protection

Finite Elements: modeling biocalor diffusion in the human brain

Meshless methods: modeling fracture mechanics problems

Finite Elements: 3-D mesh of a hydroelectric power station powerhouse

Natural Convection in a Cavity – Rayleigh-Benard problem solved with stabilized finite elements